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Finding the Fourth Proportional to 2,562.57, 3,538.08 and 1,666.71

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Solution

The fourth proportional to 2,562.57, 3,538.08 and 1,666.71 is: 2,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.57 : 3,538.08 = 1,666.71 : x
  2. Step 2: Convert to fraction form
    2,562.57/3,538.08 = 1,666.71/x
  3. Step 3: Cross multiply
    2,562.57x = 3,538.08 × 1,666.71
  4. Step 4: Simplify right side
    2,562.57x = 5,896,953.32
  5. Step 5: Solve for x
    x = 5,896,953.32/2,562.57
  6. Step 6: Final answer
    x = 2,301.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.